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Finding the Fourth Proportional to 19,609.92, 27,061.56 and 11,226.42

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Solution

The fourth proportional to 19,609.92, 27,061.56 and 11,226.42 is: 15,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609.92 : 27,061.56 = 11,226.42 : x
  2. Step 2: Convert to fraction form
    19,609.92/27,061.56 = 11,226.42/x
  3. Step 3: Cross multiply
    19,609.92x = 27,061.56 × 11,226.42
  4. Step 4: Simplify right side
    19,609.92x = 303,804,438.42
  5. Step 5: Solve for x
    x = 303,804,438.42/19,609.92
  6. Step 6: Final answer
    x = 15,492.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.